Pith Number

pith:GHW6RWJ3

pith:2011:GHW6RWJ3QUPF3WGPW7DURODH4G

not attested not anchored not stored refs pending

Groupoids, root systems and weak order I

Matthew Dyer

arxiv:1110.3217 v1 · 2011-10-14 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHW6RWJ3QUPF3WGPW7DURODH4G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:10:57.736431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ede8d93b851e5dd8cfb7c748b867e1abef08ec6c7f7b07a5cab476d0aaf4f2

Aliases

arxiv: 1110.3217 · arxiv_version: 1110.3217v1 · doi: 10.48550/arxiv.1110.3217 · pith_short_12: GHW6RWJ3QUPF · pith_short_16: GHW6RWJ3QUPF3WGP · pith_short_8: GHW6RWJ3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GHW6RWJ3QUPF3WGPW7DURODH4G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 31ede8d93b851e5dd8cfb7c748b867e1abef08ec6c7f7b07a5cab476d0aaf4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067f39a3cb0a9724c68efda252c2b2ed2807a4d71d8fc87abe78b1bd255fb773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-14T14:15:05Z",
    "title_canon_sha256": "084c10d0a3cadab4a12148344684509441f80a5557de045f1aa57779c8dbe874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3217",
    "kind": "arxiv",
    "version": 1
  }
}